276689676168 has 320 divisors, whose sum is σ = 833257497600. Its totient is φ = 85473515520.

The previous prime is 276689676157. The next prime is 276689676181. The reversal of 276689676168 is 861676986672.

276689676168 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 526013²-1.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 276689676096 and 276689676105.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 225133378 + ... + 225134606.

It is an arithmetic number, because the mean of its divisors is an integer number (2603929680).

Almost surely, 2^276689676168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276689676168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416628748800).

276689676168 is an abundant number, since it is smaller than the sum of its proper divisors (556567821432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

276689676168 is a wasteful number, since it uses less digits than its factorization.

276689676168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1549 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 276689676168 in words is "two hundred seventy-six billion, six hundred eighty-nine million, six hundred seventy-six thousand, one hundred sixty-eight".